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112523761116 = 223413195113693
BaseRepresentation
bin110100011001011110…
…0000101010111011100
3101202102222022022210000
41220302330011113130
53320422040323431
6123405342414300
711062305121404
oct1506274052734
9352388268700
10112523761116
11437a28031a8
1219983b91390
13a7c3328690
14563645b804
152dd89689e6
hex1a32f055dc

112523761116 has 120 divisors (see below), whose sum is σ = 316972498304. Its totient is φ = 34602422400.

The previous prime is 112523761099. The next prime is 112523761127. The reversal of 112523761116 is 611167325211.

112523761116 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 2 + 37 + 611 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8210766 + ... + 8224458.

Almost surely, 2112523761116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112523761116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158486249152).

112523761116 is an abundant number, since it is smaller than the sum of its proper divisors (204448737188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112523761116 is a wasteful number, since it uses less digits than its factorization.

112523761116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15673 (or 15662 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The spelling of 112523761116 in words is "one hundred twelve billion, five hundred twenty-three million, seven hundred sixty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 1951 2106 3902 4212 5853 7804 11706 13693 17559 23412 25363 27386 35118 41079 50726 52677 54772 70236 76089 82158 101452 105354 123237 152178 158031 164316 178009 210708 228267 246474 304356 316062 356018 369711 456534 492948 534027 632124 684801 712036 739422 913068 1068054 1109133 1369602 1478844 1602081 2054403 2136108 2218266 2739204 3204162 4108806 4436532 4806243 6408324 8217612 9612486 14418729 19224972 26715043 28837458 53430086 57674916 80145129 106860172 160290258 240435387 320580516 347295559 480870774 694591118 721306161 961741548 1041886677 1389182236 1442612322 2083773354 2163918483 2885224644 3125660031 4167546708 4327836966 6251320062 8655673932 9376980093 12502640124 18753960186 28130940279 37507920372 56261880558 112523761116